Epipelagic representations and invariant theory

  title={Epipelagic representations and invariant theory},
  author={Mark Reeder and J. Yu},
We introduce a new approach to the representation theory of reductive p-adic groups G, based on the Geometric Invariant Theory (GIT) of Moy-Prasad quotients. Stable functionals on these quotients are used to give a new construction of supercuspidal representations of G having small positive depth, called epipelagic. With some restrictions on p, we classify the stable and semistable functionals on Moy-Prasad quotients. The latter classification determines the nondegenerateK-types forG as well as… CONTINUE READING
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